Symmetry protected weak topological phases in a superlattice

Abstract

We explore novel topological phases realized in a superlattice system based on the Wilson-Dirac model. Our main focus is on a two-dimensional analogue of weak topological insulator phases. We find such phases as those characterized by gapless edge states that are protected by symmetry but sensitive to the orientation of the edge relative to the superlattice structure. We show that manifest and hidden reflection symmetries protect such weak topological phases, and propose bulk Z2 indices responsible for the topological protection of the edge states.

5 pages, 3 figures, final version

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Cited by in corpus (14)

• Topological Effects in Chiral Symmetric Driven Systems
• Finite-size-effect-induced topological phase transition in a topological crystalline insulator
• Symmetry Protected Quantization and Bulk-Edge Correspondence of Massless Dirac Fermions: Application to Fermionic Shastry-Sutherland Model
• Bulk-Defect Correspondence in Particle-Hole Symmetric Insulators and Semimetals
• Long-range hopping and indexing assumption in one-dimensional topological insulators
• Entanglement Chern number for an extensive partition of a topological ground state
• Characterizing the weak topological properties: Berry phase point of view
• Dimensional evolution between one- and two-dimensional topological phases
• Disentangled topological numbers by a purification of entangled mixed states for non-interacting fermion systems
• Manipulating quantum channels in weak topological insulator nanoarchitectures
• A spin pump characterized by entanglement Chern numbers
• Engineering Dirac electrons emergent on the surface of a topological insulator
• Tunable zero modes and quantum interferences in flat-band topological insulators
• Hidden topology in flat-band topological insulators: Strong, weak and square-root topological states